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Finding the Third Proportional to 32,963 and 68,262

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Solution

The third proportional to 32,963 and 68,262 is: 141,361.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,963 : 68,262 = 68,262 : x
  2. Step 2: Convert to fraction form
    32,963/68,262 = 68,262/x
  3. Step 3: Cross multiply
    32,963x = 68,262 × 68,262
  4. Step 4: Simplify right side
    32,963x = 4,659,700,644
  5. Step 5: Solve for x
    x = 4,659,700,644/32,963
  6. Step 6: Final answer
    x = 141,361.55

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.